Question

In Fe-Fe3C phase diagram, the eutectoid composition is 0.8 weight % of carbon at 725 °C. The maximum solubility of carbon in αferrite phase is 0.025 weight % of carbon. A steel sample, having no other alloying element except 0.5 weight % of carbon, is slowly cooled from 1000 °C to room temperature. The fraction of pro-eutectoid αferrite in the above steel sample at room temperature is

Options :

  1. 0.387

  2. 0.864

  3. 0.475

  4. 0.775

Show Answer

Answer :

0.387

Solution :

eutectoid composition, CL = 0.8 weight %

α-ferrite, Cα = 0.025 weight %

alloying element Co = 0.5 weight % of carbon

Mass fraction of proeutectoid α = C L C o C L C α × 100

0.8     0.5 0.8     0.025 × 100 = 0.387

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